Kite_{p+۲,p} is determined by its Laplacian spectrum

Kite_{n,p} denotes the kite graph that is obtained by appending complete graph with order p\geq۴ to an endpoint of path graph with order n-p‎. ‎It is shown that Kite_{n,p} is determined by its adjacency spectrum for all p and n [H‎. ‎Topcu and ‎S‎. ‎Sorgun‎, ‎The kite graph is determined by its adjacency spectrum‎, ‎Applied Math‎. ‎and Comp.‎, ‎۳۳۰ (۲۰۱۸) ۱۳۴--۱۴۲]‎. ‎For n-p=۱‎, ‎it is proven that Kite_{n,p} is determined by its signless Laplacian spectrum when n\geq۴‎, ‎n\neq۵ and is also determined by its distance spectrum when n\geq۴ [K‎. ‎C‎. ‎Das and ‎M‎. ‎Liu‎, ‎Kite graphs are determined by their spectra‎, ‎Applied Math‎. ‎and Comp.‎, ‎۲۹۷ (۲۰۱۷) ۷۴--۷۸]‎. ‎In this note‎, ‎we say that Kite_{n,p} is determined by its Laplacian spectrum for n-p\leq۲‎.

کلیدواژه ها:

‎Laplacian matrix‎ ، ‎kite graph‎ ، ‎determined by spectrum